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Nadya [2.5K]
3 years ago
11

A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the g

round. If the angle of depression from the person on the building is 30°, how tall is the building?
Mathematics
1 answer:
kvasek [131]3 years ago
5 0

Answer:

520 feets

Step-by-step explanation:

The height of the building, h can be obtuined using trigonometry ;

From the attached diagram, opposite side = 300 feets ; height, h = adjacent side

Hence,

Tan θ = opposite / Adjacent

Tan 30° = 300 / height

0.5773502 = 300 / height

Height = 300 / 0.5773502

Height = 519.615

Height = 520 feets

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Express answer in exact form.
Kruka [31]
We know that
<span>the regular hexagon can be divided into 6 equilateral triangles
</span>
area of one equilateral triangle=s²*√3/4
for s=3 in
area of one equilateral triangle=9*√3/4 in²

area of a circle=pi*r²

in this problem the radius is equal to the side of a regular hexagon
r=3 in
area of the circle=pi*3²-----> 9*pi in²
we divide that area into 6 equal parts------> 9*pi/6----> 3*pi/2 in²

the area of a segment formed by a side of the hexagon and the circle is equal to <span>1/6 of the area of ​​the circle minus the area of ​​1 equilateral triangle
</span>so
 [ (3/2)*pi in²-(9/4)*√3 in²]

the answer is
 [ (3/2)*pi in²-(9/4)*√3 in²]

6 0
3 years ago
Please be quick! I need this as soon as possible!
Katarina [22]

Answer:

64%

Step-by-step explanation:

The nickel= 9/25

The copper=16/25

1. Multiply by 4 to get a total of 100

nickel=36/100

copper= 64/100

Sorry if it is wrong but i hope i was right

5 0
3 years ago
Read 2 more answers
In the construction, A is the center of one circle, and B is
SashulF [63]
Without a picture, no way to solve this
4 0
2 years ago
Suppose that y is inversely proportional to square root of x.
FromTheMoon [43]

Answer:

i) k = 36.8

ii)y = 36.8/square root of x

iii)y = 1.4

Step-by-step explanation:

If y is inversely proportional to square root of x;

then the two variables are related by,

y = k/ square root of x

i)Value of k when...x = 8 and y = 13,

substitute into the equation above..so as to find the value of k

13 = k/square root of 8

;k = 13 × square root of 8

;k = 36.8

ii)Then substitute the value of k with...36.8

y = 36.8/square root of x

iii)If x = 27...then y =;

y = 36.8/27

y = 1.4

7 0
3 years ago
Please help! finding the area of each polygon
VARVARA [1.3K]
Multiply length times width
6 0
3 years ago
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